Question

this is the question

a. The correlation coefficient between the number of students and marks obtained in end semester exam. (13 Marks) Give the statistical meaning of the relationship between the number of students and marks b. obtained in end semester exam. (3 Marks) Draw the number of students and marks obtained in end semester exam scatter diagram c. (4 Marks) Check list Write your name and ID corectly Write the question number properly Use your own calculator. Show all the steps to solve the problems. Use the correct formula. Answer in provided time. Don't use your mobile for any purpose. Write your answer up to two decimal places 5. The following table shows the number of students represented by x and marks obtained in end semester exam in the module "Statistics represented by Y, 6 students selected at random from a large group of students. X (number of students) 12 15 14 9 14 10 50 45 32 47 34 Y (marks obtained in end semester exam) 36 Find the following: MASC 1002.1 (QP) Page 2 of 3

Answer 1

Solution:-) I have done all the important calculations in R. On L.H.S. is R-output and on R.H.S. is code.

R Untitled- R Editor RR Console ... x-c (12,15,14,9,14,10) xc (12,15,14,9,14, 10) yc(36, 50, 45, 32,47, 34) lation bw the no. of students and marks obtained , 0, no. of students and marks obtained cor (, v) ##5catter diagram of the no. of students and marks obtained cor (x, y) [ 0.9657988 ###Scatter diagram of the no. of students and marks obtained plot (x, y,lwd-4, col ="red") plot (x,y, lwd-4, col - "red") RR Graphics: Device 2 (ACTIVE) 50 45 40 35 10 11 12 13 14 15 Y

\a) The correlation coefficient bw the no. of students and marks obtained is 0.9657988.

b) As the magnitude of correlation coefficient is positive , this means that the number of students and marks are positively related. As the correlation coefficient is quite high, this means that they are strongly linearly related. One with large no. of students will score better in end semester exam.

c) The scatter diagram is given above.